1. Scientific Notation

2. Scientific Notation
Scientist need to express either very small numbers or very large number
* the mass of a proton in a Hydrogen atom kg
A single gram of Hydrogen has
H atoms

3. Scientific Notation
To easily express the numeric value of large and small numbers we use scientific notation.
Def: an expression of numbers in the form
m x 10n, where m is equal to or greater than 1 and less than 10, and n is an integer.

4. m x 10 n Scientific Notation Scientific notation has 2 parts.
A coefficient – a number in which one digit is placed to the left of the decimal.
An exponent – a power of 10 by which the number is multiplied.

5. Positive exponent
A positive exponent indicates the number of times the coefficient must be multiplied by 10.
Each time the decimal place is moved one place to the left, the exponent is increased by one.

6. Express 1234.56 in scientific notation
x x x x103

7. Negative exponents
A negative exponent indicates the number of times a coefficient must be divided by 10.
Each time the decimal place is moved one place to the right, the exponent is decreased by one.

8. Express 0.006 57 in scientific notation

9. Express the following in scientific notation
230
2.3x102

10. Express the following in scientific notation
5601
5.601 x103

11. Express the following in scientific notation
1.41 x 107

12. Express the following in scientific notation
56 million
5.6 x 107

13. Express the following in scientific notation
x 10-1

14. Express the following in scientific notation
0.089
8.9 x 10-2

15. Express the following in scientific notation
2.6 x 10-4

16. Express the following in scientific notation
6.98 x 10-7

17. Express the following in scientific notation
12 thousandth
1.2 x 10-2

18. Express the following in scientific notation
The speed of light in a vacuum is
m/s
* x 108 m/s

19. Express the following in scientific notation
The mean radius of Earth is
6 378km
* x 103km

20. Express the following in scientific notation
The density of Oxygen is
g/ml
* 1.42 x 10-3g/ml

21. Express the following in scientific notation
The radius of an Argon atom is m
9.8 x 10-11m